13764300188128 has 72 divisors (see below), whose sum is σ = 32539566919104. Its totient is φ = 5708695910400.

The previous prime is 13764300188123. The next prime is 13764300188137. The reversal of 13764300188128 is 82188100346731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13764300188123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141536113 + ... + 141633328.

It is an arithmetic number, because the mean of its divisors is an integer number (451938429432).

Almost surely, 2^{13764300188128} is an apocalyptic number.

It is an amenable number.

13764300188128 is an abundant number, since it is smaller than the sum of its proper divisors (18775266730976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13764300188128 is a wasteful number, since it uses less digits than its factorization.

13764300188128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283169496 (or 283169481 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 13764300188128 in words is "thirteen trillion, seven hundred sixty-four billion, three hundred million, one hundred eighty-eight thousand, one hundred twenty-eight".